1. After having researched Johann Kepler, would you consider him to be a mathematician or a scientist? Why? How did the conic sections (circle, parabola, ellipse, and hyperbola) impact his work? (You may use only one conic section.) Describe some of his contributions to mathematics. Are they still important today?
2. Find a minimum of three examples of ways logarithms can be used in the real world.
3. Find a problem, or type of problem, from chapter 8 that initially gave you difficulty, but is now not a source of frustration for you. Show the solution to this problem and explain how you solved the problem.
4. Write a consistent, independent system of two equations with two variables that has a solution of (3, - 4). Then solve the system.
5. How would you explain solving a system of linear inequalities to a student who does not understand the process?
April 29, 2011
1. After having researched Johann Kepler, would you consider him to be a mathematician or a scientist? Why? How did the conic sections (circle, parabola, ellipse, and hyperbola) impact his work? (You may use only one conic section.) Describe some of his contributions to mathematics. Are they still important today?
2. Find a minimum of three examples of ways logarithms can be used in the real world.
3. Find a problem, or type of problem, from chapter 8 that initially gave you difficulty, but is now not a source of frustration for you. Show the solution to this problem and explain how you solved the problem.
4. Write a consistent, independent system of two equations with two variables that has a solution of (3, - 4). Then solve the system.
5. How would you explain solving a system of linear inequalities to a student who does not understand the process?